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Simplifying 7(3n + -4) = (7n + 7) + 5 Reorder the terms: 7(-4 + 3n) = (7n + 7) + 5 (-4 * 7 + 3n * 7) = (7n + 7) + 5 (-28 + 21n) = (7n + 7) + 5 Reorder the terms: -28 + 21n = (7 + 7n) + 5 Remove parenthesis around (7 + 7n) -28 + 21n = 7 + 7n + 5 Reorder the terms: -28 + 21n = 7 + 5 + 7n Combine like terms: 7 + 5 = 12 -28 + 21n = 12 + 7n Solving -28 + 21n = 12 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -28 + 21n + -7n = 12 + 7n + -7n Combine like terms: 21n + -7n = 14n -28 + 14n = 12 + 7n + -7n Combine like terms: 7n + -7n = 0 -28 + 14n = 12 + 0 -28 + 14n = 12 Add '28' to each side of the equation. -28 + 28 + 14n = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 14n = 12 + 28 14n = 12 + 28 Combine like terms: 12 + 28 = 40 14n = 40 Divide each side by '14'. n = 2.857142857 Simplifying n = 2.857142857
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